Know and Understand Pythagoras' theorem
In this lesson, Pythagoras' theorem will be introduced.
Unit: Pythagoras Theorem 1
Lessons:
4 lessons
Find the length of the hypotenuse
In this lesson, Pythagoras' theorem will be applied to find the hypotenuse of a right-angled triangle.
Find the length of the shorter side
In this lesson, Pythagoras' theorem will be applied to find a shorter side of a right-angled triangle.
Mixture of Finding a Missing Length
Apply Pythagoras' theorem to find any missing length of a right-angled triangle.
Units in Maths
Units in Shape and Space (S)
- Directed Numbers
- Rules of Indices (numbers)
- Standard Form (Writing and converting)
- Standard Form 4 Operations
- Collecting, Indices, Expand and Simplify, Solving Equations 1
- Solving equations 2 (Simple algebraic fractions)
- Adding and Subtracting Fractions
- Algebraic Fractions
- Factorise and solve a quadratic (a=1)
- Substitution and Rearranging formulae
- Rotation and Enlargement
- Similarity
- Pythagoras Theorem 1
- Pythagoras Theorem 2
- Factors Multiple and Primes
- Venn Diagrams
- HCF and LCM
- Rounding and Estimating
- Simple Graphs
- Straight Line Graphs (y=mx+C)
- Straight Line Graphs 2 (Parallel Lines)
- Simultaneous Equations (Linear)
- Scatter diagrams and Frequency trees
- Averages (From a list and tables, Stem and Leaf)
- Higher Data 1 (CF and Box Plots)
- Probability 2 (Sample space, Venn diagrams and experimental)
- Quadratic Graphs 1 (a=1)
- Quadratic Graphs 2 (a>1)
- Ratio 1 & 2
- Percentage increase and decrease
- Repeated Percentage Change
- Fractions 1, 2, and Fractional Change
- Parts of circles 1 (Semi and quarter circles)
- Parts of circles 2 (Arcs and Sectors)
- Cylinders
- Area and Perimeter
- Trigonometry 1
- Trigonometry 2
- Trigonometry 3
- 4 Rules of Number
- Types of numbers
- Collecting like terms, simplifying
- Expand and simplify brackets
- Rules of Indices
- Solving equations 1 (One step, Two Step and Brackets)
- Reflection
- Factorising (single bracket)
- Solve Inequalities and Represent on Number Line
- Linear Sequences
- Fraction equivalents
- Fractions 1 (adding and subtracting)
- Fractions 2 (multiplying and dividing)
- Fraction Change
- Percentages
- FDP Equivalents
- Decimals
- Ratio 1
- Circles
- Volume and Surface Area 1 (Prisms)
- Simplifying Surds
- Adding Surds
- Multiplying Surds
- Dividing and Rationalising surds
- Factorise and solve quadratics (a > 1)
- Further Algebra (Change the subject/Binomial expansion)
- Types of numbers and Rules of Indices
- Negative and Fractional Indices
- Recurring decimals
- Upper and Lower Bounds
- Higher Straight lines (Perpendicular Lines)
- Scatter Diagrams & Frequency Trees & Averages
- Higher Probability (Conditional and Further Set Notation)
- Further Quadratic equations
- Quadratic sequences
- One linear and one quadratic simultaneous equations
- Parts of a circle 1 & 2
- Volume 2
- Surface Area 2
- Volume and Surface Area 2
- Advanced Trigonometry 1
- Advanced Trigonometry 2
- Advanced Trigonometry 3
- Angle Facts
- Parallel Lines and Polygons 1
- Polygons 2 (Interior and Exterior)
- Ratio 2 (Ratio and Fractions/Direct Proportion/Best Buy)
- Revise - Solving equations
- Frequency charts (Data Collection, Bar and Pictograms)
- Charts and Tables (Pie Chart and Two way tables)
- Probability 1 (Scale and equally likely events)
- Probability 3 (Tree diagrams)
- Travel Graphs
- Compound measures
- Translate and Vectors 1
- Vectors 2
- Bearings
- Views and Maps
- Constructions
- Loci
- Revise - Angles, Polygons, Bearings
- Circle Theorems 1
- Circle Theorems 2
- Functions
- Revise - Simultaneous Equations
- Revise - Data (mean table, CF charts)
- Histograms
- Cubic and Reciprocal Graphs
- Graphs of Inequalities
- Volume and Surface Area 1 & 2
- Constructions & Loci
- Solve equations numerically (Iteration)
- Direct and Inverse Proportion
- Further Algebraic Fractions
- Algebraic Proof
- Circle Graphs
- Data Collection Higher
- Revise - Linear and Quadratic Graphs
- Other Graphs (Trig, Exponetial and Transformations)
- Further graphs (Gradients/Area of curves)
- Volume and Surface Area Higher 3
- Higher Vectors 1
- Higher Vectors 2 and Congruent Triangles
- Enlargement and Similarity
- Trigonometry 1 & 2
- Angle Facts & Parallel Lines
- Polygons 1 & 2
- Pythagoras 1 & 2
- Advanced Trigonometry 1, 2, and 3
- Volume and Surface Area 2 & Views and Maps
- Compound Measures & Direct and Inverse Proportion
- Area and Perimeter & Circles
- Volume and Surface Area 1 & 2
- Parts of a circle 1 & 2
- Trigonometry 2
- Advanced Trigonometry 1
- Similarity
- Higher Vectors 1
- Circle Theorems 1
- Parts of circles 2 (Arcs and Sectors)
- Pythagoras Theorem 2
- Parts of circles 1 (Semi and quarter circles)
- Volume and Surface Area 1 (Prisms)
- Advanced Trigonometry 3
- Cylinders
- Translate and Vectors 1
- Bearings
- Circles
- Advanced Trigonometry 2
- Circle Theorems 2
- Angle Facts
- Constructions
- Vectors 2
- Area and Perimeter
- Revise - Angles, Polygons, Bearings
- Trigonometry 3
- Rotation and Enlargement
- Constructions & Loci
- Reflection
- Views and Maps
- Loci
- Higher Vectors 2 and Congruent Triangles
- Volume and Surface Area Higher 3
- Pythagoras Theorem 1
- Enlargement and Similarity
- Volume and Surface Area 2
- Parallel Lines and Polygons 1
- Polygons 2 (Interior and Exterior)
- Trigonometry 1